[a-b]-[a-b]+[a-b]=

Solution for [a-b]-[a-b]+[a-b]= equation:

Simplifying
[a + -1b] + -1[a + -1b] + [a + -1b] = 0

Remove brackets around [a + -1b]
a + -1b + -1[a + -1b] + [a + -1b] = 0
a + -1b + [a * -1 + -1b * -1] + [a + -1b] = 0
a + -1b + [-1a + 1b] + [a + -1b] = 0

Remove brackets around [a + -1b]
a + -1b + -1a + 1b + a + -1b = 0

Reorder the terms:
a + -1a + a + -1b + 1b + -1b = 0

Combine like terms: a + -1a = 0
0 + a + -1b + 1b + -1b = 0
a + -1b + 1b + -1b = 0

Combine like terms: -1b + 1b = 0
a + 0 + -1b = 0
a + -1b = 0

Solving
a + -1b = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add 'b' to each side of the equation.
a + -1b + b = 0 + b

Combine like terms: -1b + b = 0
a + 0 = 0 + b
a = 0 + b
Remove the zero:
a = b

Simplifying
a = b